Pith Number

pith:QTLZ25MR

pith:2005:QTLZ25MRTRNGA7Y2GLUY7OSV3M

not attested not anchored not stored refs pending

Choptuik Scaling and The Merger Transition

Barak Kol

arxiv:hep-th/0502033 v3 · 2005-02-03 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTLZ25MRTRNGA7Y2GLUY7OSV3M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T16:55:58.914937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d79d75919c5a607f1a32e98fba55db3798947133150e0383758d9c40d53f22

Aliases

arxiv: hep-th/0502033 · arxiv_version: hep-th/0502033v3 · doi: 10.48550/arxiv.hep-th/0502033 · pith_short_12: QTLZ25MRTRNG · pith_short_16: QTLZ25MRTRNGA7Y2 · pith_short_8: QTLZ25MR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QTLZ25MRTRNGA7Y2GLUY7OSV3M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 84d79d75919c5a607f1a32e98fba55db3798947133150e0383758d9c40d53f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd17e7ca46ba807f637d9d7dc15c59862a9121af821b73773057923a142f01e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-02-03T20:56:35Z",
    "title_canon_sha256": "1fbd7bae54b494b81bcbb2243d4dd3463b763267deb098b6686bc5450471b690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0502033",
    "kind": "arxiv",
    "version": 3
  }
}